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Finding the Third Proportional to 180,064 and 387,450.50

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Solution

The third proportional to 180,064 and 387,450.50 is: 833,691.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,064 : 387,450.50 = 387,450.50 : x
  2. Step 2: Convert to fraction form
    180,064/387,450.50 = 387,450.50/x
  3. Step 3: Cross multiply
    180,064x = 387,450.50 × 387,450.50
  4. Step 4: Simplify right side
    180,064x = 150,117,889,950.25
  5. Step 5: Solve for x
    x = 150,117,889,950.25/180,064
  6. Step 6: Final answer
    x = 833,691.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.